{"title":"Banach代数中g-Drazin逆的块表示","authors":"Huanyin Chen, Marjan Sheibani","doi":"10.18514/mmn.2023.3925","DOIUrl":null,"url":null,"abstract":". We present new formulas for the g -Drazin inverse of the sum in a Banach algebra. The block representations for the g -Drazin inverse of a 2 × 2 block operator matrix are thereby established. These extend the known results obtained in [3,7].","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":"47 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Block representations for the g-Drazin inverse in Banach algebras\",\"authors\":\"Huanyin Chen, Marjan Sheibani\",\"doi\":\"10.18514/mmn.2023.3925\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We present new formulas for the g -Drazin inverse of the sum in a Banach algebra. The block representations for the g -Drazin inverse of a 2 × 2 block operator matrix are thereby established. These extend the known results obtained in [3,7].\",\"PeriodicalId\":51252,\"journal\":{\"name\":\"Miskolc Mathematical Notes\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Miskolc Mathematical Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18514/mmn.2023.3925\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18514/mmn.2023.3925","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Block representations for the g-Drazin inverse in Banach algebras
. We present new formulas for the g -Drazin inverse of the sum in a Banach algebra. The block representations for the g -Drazin inverse of a 2 × 2 block operator matrix are thereby established. These extend the known results obtained in [3,7].
期刊介绍:
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.